1. Warm-up: The Triangle Inequality Theorem states that a triangle can be made only if the longest side is less than the sum of the short and middle sides.
a) Is it possible to make a triangle with side lengths 5, 14, 10?
b) Is it possible to make a triangle with side lengths 19, 8, 10?
c) Is it possible to make a triangle with side lengths 130, 20, 110?
d) If the side lengths of a triangle are 7 and 12, what are the possible lengths of the 3rd side? Hint: Use inequality symbols (<, >) to represent all of the possibilities.
2. Area of a Circle
a) Is it possible to make a triangle with side lengths 5, 14, 10?
b) Is it possible to make a triangle with side lengths 19, 8, 10?
c) Is it possible to make a triangle with side lengths 130, 20, 110?
d) If the side lengths of a triangle are 7 and 12, what are the possible lengths of the 3rd side? Hint: Use inequality symbols (<, >) to represent all of the possibilities.
2. Area of a Circle
- Objective: I will calculate the area of a circle given the radius or diameter.
- Math Notes: Area of a circle
- BuzzMath: Area of a Circle - link posted in GC
- Challenge Problem:
- If you know the Circumference of a circle, can you find the area?
- Write down your steps in numerical order
- Trade papers with another student
- Test their theory with this problem: C = 31.4 cm
- If their theory produces the correct answer (78.5 cm2) commend them for a job well done!
- If not, give their paper back to them for revision
Homework: Lesson 9.1.2 R/P #31, 32, 34, 35, 38
